Sue chooses a dress and necklace to wear when she performs at a violin recital. The probability that Sue selects a black dress is 40%. The probability Sue selects a gold necklace is 30%. What is the probability that Sue chooses a black dress and a gold necklace?

To find the probability of two separate events both occurring (in this case, selecting a black dress and a gold necklace), the probabilities are multiplied usually as fractions or decimals.

As fractions:

40% = 4/10

30% = 3/10

4/10 * 3/10 = 12/100 = 3/25, 0.12, or 12%

As decimals:

40% = 0.4

30% = 0.3

0.4 * 0.3 = 0.12 = 3/25, 0.12, or 12%

shubhamchouhanvrVT shubhamchouhanvrVT · Answer 2 · 2022-08-05T08:17:55+02:00

Sue has a 12% chance of choosing a black dress and a gold necklace (as a fraction: 3/25, and as a decimal: 0.12).

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability of two separate events both occurring (in this case, selecting a black dress and a gold necklace), the probabilities are multiplied usually as fractions or decimals.

The probability that Sue chooses a black dress and a gold necklace is calculated as below:-

As fractions:

40% = 4/10

30% = 3/10

4/10 x 3/10 = 12/100 = 3/25, 0.12, or 12%

As decimals:

40% = 0.4

30% = 0.3

0.4 x 0.3 = 0.12 = 3/25, 0.12, or 12%

Therefore, the probability that Sue chooses a black dress and a gold necklace is (as a fraction: 3/25, and as a decimal: 0.12).

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